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112322210202120 = 233510925033430813
BaseRepresentation
bin11001100010100000001101…
…011100001000001000001000
3112201200220020221201211101210
4121202200031130020020020
5104210241341302431440
61034520035551413120
732442004035534162
oct3142401534101010
9481626227654353
10112322210202120
1132875644474916
1210720968b241a0
134a89c28c03259
141da45d158d932
15cebb59b9ea80
hex66280d708208

112322210202120 has 128 divisors (see below), whose sum is σ = 340194026937600. Its totient is φ = 29665929452544.

The previous prime is 112322210202119. The next prime is 112322210202149. The reversal of 112322210202120 is 21202012223211.

It is a super-2 number, since 2×1123222102021202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31023834 + ... + 34454646.

It is an arithmetic number, because the mean of its divisors is an integer number (2657765835450).

Almost surely, 2112322210202120 is an apocalyptic number.

112322210202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112322210202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170097013468800).

112322210202120 is an abundant number, since it is smaller than the sum of its proper divisors (227871816735480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112322210202120 is a wasteful number, since it uses less digits than its factorization.

112322210202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433439 (or 3433435 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 112322210202120 its reverse (21202012223211), we get a palindrome (133524222425331).

The spelling of 112322210202120 in words is "one hundred twelve trillion, three hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2503 2616 3270 4360 5006 6540 7509 10012 12515 13080 15018 20024 25030 30036 37545 50060 60072 75090 100120 150180 272827 300360 545654 818481 1091308 1364135 1636962 2182616 2728270 3273924 3430813 4092405 5456540 6547848 6861626 8184810 10292439 10913080 13723252 16369620 17154065 20584878 27446504 32739240 34308130 41169756 51462195 68616260 82339512 102924390 137232520 205848780 373958617 411697560 747917234 1121875851 1495834468 1869793085 2243751702 2991668936 3739586170 4487503404 5609379255 7479172340 8587324939 8975006808 11218758510 14958344680 17174649878 22437517020 25761974817 34349299756 42936624695 44875034040 51523949634 68698599512 85873249390 103047899268 128809874085 171746498780 206095798536 257619748170 343492997560 515239496340 936018418351 1030478992680 1872036836702 2808055255053 3744073673404 4680092091755 5616110510106 7488147346808 9360184183510 11232221020212 14040276275265 18720368367020 22464442040424 28080552550530 37440736734040 56161105101060 112322210202120